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Finding the Third Proportional to 1,225,314.21 and 2,663,145.21

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Solution

The third proportional to 1,225,314.21 and 2,663,145.21 is: 5,788,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,314.21 : 2,663,145.21 = 2,663,145.21 : x
  2. Step 2: Convert to fraction form
    1,225,314.21/2,663,145.21 = 2,663,145.21/x
  3. Step 3: Cross multiply
    1,225,314.21x = 2,663,145.21 × 2,663,145.21
  4. Step 4: Simplify right side
    1,225,314.21x = 7,092,342,414,539.88
  5. Step 5: Solve for x
    x = 7,092,342,414,539.88/1,225,314.21
  6. Step 6: Final answer
    x = 5,788,182.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.